Research Article
An SIR Epidemic Model with Birth Pulse and Pulse Vaccination on the Newborn
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@INPROCEEDINGS{10.1007/978-3-030-97124-3_43, author={Airen Zhou and Jianjun Jiao}, title={An SIR Epidemic Model with Birth Pulse and Pulse Vaccination on the Newborn}, proceedings={Simulation Tools and Techniques. 13th EAI International Conference, SIMUtools 2021, Virtual Event, November 5-6, 2021, Proceedings}, proceedings_a={SIMUTOOLS}, year={2022}, month={3}, keywords={SIR epidemic model Birth pulse Global asymptotical stability Permanence Pulse vaccination}, doi={10.1007/978-3-030-97124-3_43} }- Airen Zhou
Jianjun Jiao
Year: 2022
An SIR Epidemic Model with Birth Pulse and Pulse Vaccination on the Newborn
SIMUTOOLS
Springer
DOI: 10.1007/978-3-030-97124-3_43
Abstract
Pulse vaccination is an important strategy to eradicate an infectious disease. In this paper, we investigate an SIR epidemic model with birth pulse and pulse vaccination on the newborn. By using the discrete dynamical system determined by stroboscopic map, we obtain the condition for the global asymptotical stability of the disease-free periodic solution of the studied system. The permanent condition of the investigated system is also given. Numerical simulation is employed to illustrate our results. The result indicates that pulse vaccination rate on the newborn plays an important role in eradicating the disease. It provides a reliable tactic basis for preventing the disease from spreading.
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